Kate Hudson and Fiancé Matthew Bellamy Look Relaxed and Happy in L.A.

Despite going through a recent rough patch in their relationship, Kate Hudson, 34, and Matthew Bellamy, 35, were spotted out together in Los Angeles on Friday looking relaxed and happy.

The couple – who got engaged in 2011, and have a son, Bingham, 2½ – had "been on the rocks for some time," a source close to the actress told PEOPLE in February.

She also attended several events earlier this year without her 9-carat engagement ring.

Although Hudson – who also has a son Ryder, 10, with ex-husband Chris Robinson of the Black Crowes – said in January that she wasn't planning a wedding "anytime soon," the source said she was working to save her relationship with the Muse rocker.